Solution Green Tea

im stuck on these questions. Can anyone help?

* can you please show how you did it, so i can reference it for later? Thank you

A) How many pounds of green tea, worth $40 a pound, should be mixed with herbal tea, worth $50 a pound, to produce 20 pounds of a blend worth $42 a pound?

B) A car leaves Rockford, Illinois, at a rate of 65 mph, bound for Madison, Wisconsin. At the same time, a truck leaves madison at the rate of 55 mph, bound for rockford. If the cities are 72 miles apart, how long will it take the car and truck to meet?

C) How many liters of a 2% brine solution must be added to 30 liters of a 10% brine solution to dilute an 8% solution?

D) If the vertex angle of an isosceles triangle is 44 degrees, find the measure of each base angle.

A)
Total worth= 20*42= $840
40x + (20-x)*50= 840
40x + 1000- 50x= 840
10x= 160
x= 16
16 pounds of green tea and 4 pounds of herbal tea

B) 65t + 55t = 72
t= 0.6 h= 36 minutes

C)
0.02x + 0.1*30= 0.08*(x+30)
0.02x + 3= 0.08x + 2.4
x= 0.6/ 0.06 = 10 L

D) 44+ 2 x = 180
x= 68 deg

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Dating back more than 4,000 years, Chinese green tea diet has been long revered as a tasty drink that can ward off diseases and improve one's well-being. There are only a few herbs that can surpass its impressive history.

Since its first recorded use during the time of Emperor Shen Nung, the link between Chinese green tea diet and good health has never been severed. Today, further studies are made to test the benefits of the remarkable health elixir.

There are as many answers to this question as there are researchers investigating the natural properties of green tea. For example, Herbs for Health magazine cites a Japanese report stating that men who drank ten cups of green tea per day stayed cancer-free for three years longer than men who drank less than three cups a day (there are approximately 240 - 320 mg of polyphenols in three cups of green tea). Meanwhile, a study by Cleveland's Western Reserve University concluded that drinking four or more cups of green tea per day could help prevent rheumatoid arthritis, or reduce symptoms in individuals already suffering from the disease. And Japanese scientists at the Saitama Cancer Research Institute discovered that there were fewer recurrances of breast cancer, and the disease spread less quickly, in women with a history of drinking five cups or more of green tea daily.

Green tea has been used traditionally to control blood sugar in the body. Animal studies suggest that green tea may help prevent the development of type 1 diabetes and slow the progression once it has developed. People with type 1 diabetes produce little or no insulin, a hormone that converts glucose (sugar), starches, and other foods into energy needed for daily life. Green tea may help regulate glucose in the body.

A few small clinical studies have found that daily supplementation of the diet with green tea-extract powder lowered the hemoglobin A1c level in individuals with borderline diabetes.

A study reported on in the American Journal of Clinical Nutrition, found that green tea extract resulted in a significant increase in energy expenditure (a metabolism 'boost'). The researchers also concluded that that over a 24-hour period, green tea extract increases the metabolic rate by 4%. These effects are probably due to the high concentrations of catechin polyphenols found in green tea. These work to help intensify levels of fat oxidation and thermo genesis (the rate at which your body burns calories).

Population-based clinical studies have shown that men who drink more than 10 cups of green tea per day are less likely to develop disorders of the liver. Green tea also seems to protect the liver from the damaging effects of toxic substances such as alcohol. Animal studies have shown that green tea helps protect against the development of liver tumors in mice.

Results from several animal and human studies suggest that one of the polyphenols present in green tea, known as catechin, may help treat viral hepatitis (inflammation of the liver from a virus). In these studies, catechin was isolated from green tea and used in very high concentrations. It is not clear whether green tea (which contains a lower concentration of catechins) confers these same benefits to people with hepatitis.

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